Name
Title | ||
|---|---|---|
Ramanujan's lost notebook: Combinatorial proofs of identities associated with Heine's transformation or partial theta functions |
Abstract | ||
|---|---|---|
Combinatorial proofs are given for certain entries in Ramanujan's lost notebook. Bijections of Sylvester, Franklin, and Wright, and applications of Algorithm Z of Zeilberger are employed. A new bijection, involving the new concept of the parity sequence of a partition, is used to prove one of Ramanujan's fascinating identities for a partial theta function. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.jcta.2009.07.005 | J. Comb. Theory, Ser. A |
Keywords | Field | DocType |
combinatorial proof,lost notebook,heine's transformation,new concept,fascinating identity,combinatorial proofs,parity sequence,new bijection,partial theta function,integer partitions,ramanujan's lost notebook,partial theta functions,algorithm z,certain entry,generating function,theta function,national security agency,integer partition | Ramanujan's congruences,Discrete mathematics,Combinatorics,Ramanujan's sum,Theta function,Ramanujan tau function,Bijection, injection and surjection,Combinatorial proof,Ramanujan prime,Mathematics,Ramanujan theta function | Journal |
Volume | Issue | ISSN |
117 | 7 | Journal of Combinatorial Theory, Series A |
Citations | PageRank | References |
3 | 0.67 | 8 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bruce C. Berndt | 1 | 18 | 7.26 |
| Byungchan Kim | 2 | 44 | 7.67 |
| Ae Ja Yee | 3 | 44 | 12.38 |